Rudiments of Ramsey theory: second Edition
In every sufficiently large structure which has been partitioned there will always be some well-behaved structure in one of the parts. This takes many forms. For example, colorings of the integers by finitely many colors must have long monochromatic arithmetic progressions (van der Waerden's th...
Gespeichert in:
Hauptverfasser: | , |
---|---|
Format: | Elektronisch E-Book |
Sprache: | English |
Veröffentlicht: |
Providence
American Mathematical Society
2015
|
Schriftenreihe: | CBMS regional Conference Series in Mathematics
123 |
Schlagworte: | |
Online-Zugang: | URL des Erstveröffentlichers |
Zusammenfassung: | In every sufficiently large structure which has been partitioned there will always be some well-behaved structure in one of the parts. This takes many forms. For example, colorings of the integers by finitely many colors must have long monochromatic arithmetic progressions (van der Waerden's theorem); and colorings of the edges of large graphs must have monochromatic subgraphs of a specified type (Ramsey's theorem). This book explores many of the basic results and variations of this theory. Since the first edition of this book there have been many advances in this field. In the second edition the authors update the exposition to reflect the current state of the art. They also include many pointers to modern results |
Beschreibung: | Description based on publisher supplied metadata and other sources |
Beschreibung: | 1 online resource (95 pages) |
ISBN: | 9781470426675 |
DOI: | 10.1090/cbms/123 |
Internformat
MARC
LEADER | 00000nmm a2200000 cb4500 | ||
---|---|---|---|
001 | BV044613399 | ||
003 | DE-604 | ||
005 | 20191210 | ||
007 | cr|uuu---uuuuu | ||
008 | 171108s2015 |||| o||u| ||||||eng d | ||
020 | |a 9781470426675 |9 978-1-4704-2667-5 | ||
024 | 7 | |a 10.1090/cbms/123 |2 doi | |
035 | |a (ZDB-30-PQE)EBC4832044 | ||
035 | |a (ZDB-89-EBL)EBL4832044 | ||
035 | |a (ZDB-38-EBR)ebr11367329 | ||
035 | |a (OCoLC)982012391 | ||
035 | |a (DE-599)BVBBV044613399 | ||
040 | |a DE-604 |b ger |e rda | ||
041 | 0 | |a eng | |
049 | |a DE-83 | ||
082 | 0 | |a 511/.5 | |
084 | |a SI 195 |0 (DE-625)143098: |2 rvk | ||
084 | |a SK 170 |0 (DE-625)143221: |2 rvk | ||
084 | |a 05D10 |2 msc | ||
084 | |a 05C55 |2 msc | ||
084 | |a 05A99 |2 msc | ||
100 | 1 | |a Graham, Ronald L. |d 1935-2020 |0 (DE-588)132783843 |4 aut | |
245 | 1 | 0 | |a Rudiments of Ramsey theory |b second Edition |
264 | 1 | |a Providence |b American Mathematical Society |c 2015 | |
264 | 4 | |c © 2015 | |
300 | |a 1 online resource (95 pages) | ||
336 | |b txt |2 rdacontent | ||
337 | |b c |2 rdamedia | ||
338 | |b cr |2 rdacarrier | ||
490 | 1 | |a CBMS regional Conference Series in Mathematics |v 123 | |
500 | |a Description based on publisher supplied metadata and other sources | ||
520 | |a In every sufficiently large structure which has been partitioned there will always be some well-behaved structure in one of the parts. This takes many forms. For example, colorings of the integers by finitely many colors must have long monochromatic arithmetic progressions (van der Waerden's theorem); and colorings of the edges of large graphs must have monochromatic subgraphs of a specified type (Ramsey's theorem). This book explores many of the basic results and variations of this theory. Since the first edition of this book there have been many advances in this field. In the second edition the authors update the exposition to reflect the current state of the art. They also include many pointers to modern results | ||
650 | 4 | |a Combinatorial analysis | |
650 | 0 | 7 | |a Ramsey-Theorie |0 (DE-588)4212682-4 |2 gnd |9 rswk-swf |
689 | 0 | 0 | |a Ramsey-Theorie |0 (DE-588)4212682-4 |D s |
689 | 0 | |5 DE-604 | |
700 | 1 | |a Butler, Steve |0 (DE-588)1044382902 |4 aut | |
776 | 0 | 8 | |i Erscheint auch als |n Druck-Ausgabe |a Graham, Ron |t Rudiments of Ramsey Theory : Second Edition |d Providence : American Mathematical Society,c2015 |z 9780821841563 |
830 | 0 | |a CBMS regional Conference Series in Mathematics |v 123 |w (DE-604)BV044192276 |9 123 | |
856 | 4 | 0 | |u https://doi.org/10.1090/cbms/123 |x Verlag |z URL des Erstveröffentlichers |3 Volltext |
912 | |a ZDB-138-AMC | ||
999 | |a oai:aleph.bib-bvb.de:BVB01-030011744 |
Datensatz im Suchindex
_version_ | 1804178013773889536 |
---|---|
any_adam_object | |
author | Graham, Ronald L. 1935-2020 Butler, Steve |
author_GND | (DE-588)132783843 (DE-588)1044382902 |
author_facet | Graham, Ronald L. 1935-2020 Butler, Steve |
author_role | aut aut |
author_sort | Graham, Ronald L. 1935-2020 |
author_variant | r l g rl rlg s b sb |
building | Verbundindex |
bvnumber | BV044613399 |
classification_rvk | SI 195 SK 170 |
collection | ZDB-138-AMC |
ctrlnum | (ZDB-30-PQE)EBC4832044 (ZDB-89-EBL)EBL4832044 (ZDB-38-EBR)ebr11367329 (OCoLC)982012391 (DE-599)BVBBV044613399 |
dewey-full | 511/.5 |
dewey-hundreds | 500 - Natural sciences and mathematics |
dewey-ones | 511 - General principles of mathematics |
dewey-raw | 511/.5 |
dewey-search | 511/.5 |
dewey-sort | 3511 15 |
dewey-tens | 510 - Mathematics |
discipline | Mathematik |
doi_str_mv | 10.1090/cbms/123 |
format | Electronic eBook |
fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>02650nmm a2200529 cb4500</leader><controlfield tag="001">BV044613399</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20191210 </controlfield><controlfield tag="007">cr|uuu---uuuuu</controlfield><controlfield tag="008">171108s2015 |||| o||u| ||||||eng d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9781470426675</subfield><subfield code="9">978-1-4704-2667-5</subfield></datafield><datafield tag="024" ind1="7" ind2=" "><subfield code="a">10.1090/cbms/123</subfield><subfield code="2">doi</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(ZDB-30-PQE)EBC4832044</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(ZDB-89-EBL)EBL4832044</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(ZDB-38-EBR)ebr11367329</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)982012391</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV044613399</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">rda</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-83</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">511/.5</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SI 195</subfield><subfield code="0">(DE-625)143098:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SK 170</subfield><subfield code="0">(DE-625)143221:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">05D10</subfield><subfield code="2">msc</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">05C55</subfield><subfield code="2">msc</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">05A99</subfield><subfield code="2">msc</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Graham, Ronald L.</subfield><subfield code="d">1935-2020</subfield><subfield code="0">(DE-588)132783843</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Rudiments of Ramsey theory</subfield><subfield code="b">second Edition</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Providence</subfield><subfield code="b">American Mathematical Society</subfield><subfield code="c">2015</subfield></datafield><datafield tag="264" ind1=" " ind2="4"><subfield code="c">© 2015</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">1 online resource (95 pages)</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="b">c</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="b">cr</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="490" ind1="1" ind2=" "><subfield code="a">CBMS regional Conference Series in Mathematics</subfield><subfield code="v">123</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">Description based on publisher supplied metadata and other sources</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">In every sufficiently large structure which has been partitioned there will always be some well-behaved structure in one of the parts. This takes many forms. For example, colorings of the integers by finitely many colors must have long monochromatic arithmetic progressions (van der Waerden's theorem); and colorings of the edges of large graphs must have monochromatic subgraphs of a specified type (Ramsey's theorem). This book explores many of the basic results and variations of this theory. Since the first edition of this book there have been many advances in this field. In the second edition the authors update the exposition to reflect the current state of the art. They also include many pointers to modern results</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Combinatorial analysis</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Ramsey-Theorie</subfield><subfield code="0">(DE-588)4212682-4</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Ramsey-Theorie</subfield><subfield code="0">(DE-588)4212682-4</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Butler, Steve</subfield><subfield code="0">(DE-588)1044382902</subfield><subfield code="4">aut</subfield></datafield><datafield tag="776" ind1="0" ind2="8"><subfield code="i">Erscheint auch als</subfield><subfield code="n">Druck-Ausgabe</subfield><subfield code="a">Graham, Ron</subfield><subfield code="t">Rudiments of Ramsey Theory : Second Edition</subfield><subfield code="d">Providence : American Mathematical Society,c2015</subfield><subfield code="z">9780821841563</subfield></datafield><datafield tag="830" ind1=" " ind2="0"><subfield code="a">CBMS regional Conference Series in Mathematics</subfield><subfield code="v">123</subfield><subfield code="w">(DE-604)BV044192276</subfield><subfield code="9">123</subfield></datafield><datafield tag="856" ind1="4" ind2="0"><subfield code="u">https://doi.org/10.1090/cbms/123</subfield><subfield code="x">Verlag</subfield><subfield code="z">URL des Erstveröffentlichers</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">ZDB-138-AMC</subfield></datafield><datafield tag="999" ind1=" " ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-030011744</subfield></datafield></record></collection> |
id | DE-604.BV044613399 |
illustrated | Not Illustrated |
indexdate | 2024-07-10T07:57:13Z |
institution | BVB |
isbn | 9781470426675 |
language | English |
oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-030011744 |
oclc_num | 982012391 |
open_access_boolean | |
owner | DE-83 |
owner_facet | DE-83 |
physical | 1 online resource (95 pages) |
psigel | ZDB-138-AMC |
publishDate | 2015 |
publishDateSearch | 2015 |
publishDateSort | 2015 |
publisher | American Mathematical Society |
record_format | marc |
series | CBMS regional Conference Series in Mathematics |
series2 | CBMS regional Conference Series in Mathematics |
spelling | Graham, Ronald L. 1935-2020 (DE-588)132783843 aut Rudiments of Ramsey theory second Edition Providence American Mathematical Society 2015 © 2015 1 online resource (95 pages) txt rdacontent c rdamedia cr rdacarrier CBMS regional Conference Series in Mathematics 123 Description based on publisher supplied metadata and other sources In every sufficiently large structure which has been partitioned there will always be some well-behaved structure in one of the parts. This takes many forms. For example, colorings of the integers by finitely many colors must have long monochromatic arithmetic progressions (van der Waerden's theorem); and colorings of the edges of large graphs must have monochromatic subgraphs of a specified type (Ramsey's theorem). This book explores many of the basic results and variations of this theory. Since the first edition of this book there have been many advances in this field. In the second edition the authors update the exposition to reflect the current state of the art. They also include many pointers to modern results Combinatorial analysis Ramsey-Theorie (DE-588)4212682-4 gnd rswk-swf Ramsey-Theorie (DE-588)4212682-4 s DE-604 Butler, Steve (DE-588)1044382902 aut Erscheint auch als Druck-Ausgabe Graham, Ron Rudiments of Ramsey Theory : Second Edition Providence : American Mathematical Society,c2015 9780821841563 CBMS regional Conference Series in Mathematics 123 (DE-604)BV044192276 123 https://doi.org/10.1090/cbms/123 Verlag URL des Erstveröffentlichers Volltext |
spellingShingle | Graham, Ronald L. 1935-2020 Butler, Steve Rudiments of Ramsey theory second Edition CBMS regional Conference Series in Mathematics Combinatorial analysis Ramsey-Theorie (DE-588)4212682-4 gnd |
subject_GND | (DE-588)4212682-4 |
title | Rudiments of Ramsey theory second Edition |
title_auth | Rudiments of Ramsey theory second Edition |
title_exact_search | Rudiments of Ramsey theory second Edition |
title_full | Rudiments of Ramsey theory second Edition |
title_fullStr | Rudiments of Ramsey theory second Edition |
title_full_unstemmed | Rudiments of Ramsey theory second Edition |
title_short | Rudiments of Ramsey theory |
title_sort | rudiments of ramsey theory second edition |
title_sub | second Edition |
topic | Combinatorial analysis Ramsey-Theorie (DE-588)4212682-4 gnd |
topic_facet | Combinatorial analysis Ramsey-Theorie |
url | https://doi.org/10.1090/cbms/123 |
volume_link | (DE-604)BV044192276 |
work_keys_str_mv | AT grahamronaldl rudimentsoframseytheorysecondedition AT butlersteve rudimentsoframseytheorysecondedition |